laplace_s.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "torus.icc"
int main (int argc, char**argv) {
environment rheolef (argc, argv);
geo gamma (argv[1]);
size_t d = gamma.dimension();
space Wh (gamma, argv[2]);
trial u (Wh); test v (Wh);
form a = integrate (dot(grad_s(u),grad_s(v)));
field b = integrate(v);
field lh = integrate (f(d)*v);
form A = {{ a, b },
{ trans(b), 0 }};
field Bh = { lh, 0 };
field Uh (Bh.get_space(), 0);
A.set_symmetry(true);
problem pa (A);
pa.solve (Bh, Uh);
dout << Uh[0];
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: laplace_s.cc:29
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
mkgeo_ball.f
int f
Definition: mkgeo_ball.sh:221
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_ball.a
int a
Definition: mkgeo_ball.sh:151
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::grad_s
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_s(const Expr &expr)
grad_s(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:929
rheolef::trans
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition: csr.h:455
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rk::gamma
Float gamma[][pmax+1]
Definition: runge_kutta_semiimplicit.icc:70
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
u
Definition: leveque.h:25
torus.icc
The torus benchmark – level set, right-hand-side and exact solution.
u
Float u(const point &x)
Definition: transmission_error.cc:26